Floataway Tours has $420,000 that can be use to purchase new rental boats for hire during the summer. The boats can be purchased from two different manufacturers. Floataway Tours would like to purchase at least 50 boats and would like to purchase the same number from Sleekboat as from Racer to maintain goodwill. At the same time,Floataway Tours wishes to have a total seating capacity of at least 200.

Required:

Formulate this problem as a linear program.

Answer and explanation:

A linear problem is an equation based on known and unknown variables that follow a linear path, usually without exponents and look like this:

y=mx+b. To formulate the linear constraints of the problem above, we look at the unknown variables and known variables and define and equation using this.

From the problem, assume x and y are the prices of the different boat brands:

50x+50y=420000

Assume a and b are number of x brand boats and y brand boats supplied thus:

a+b>=200